Slope-Intercept 2024

Front

What is the Y-Intercept?

Back

The Y-Intercept is the point where the line crosses the Y-axis. It is represented as (0, b) in the slope-intercept form y = mx + b.

Front

How do you find the slope of a line?

Back

The slope (m) is calculated as the change in Y divided by the change in X (rise/run) between two points on the line.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the Y-intercept.

Front

If m=3 and b=6, what is the slope-intercept equation?

Back

y = 3x + 6.

Front

What is the Y-intercept of the equation y = 6x - 9?

Back

The Y-intercept is -9, represented as the point (0, -9).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls from left to right.

Front

How do you determine if a slope is undefined?

Back

A slope is undefined when the line is vertical, meaning there is no change in X.

Front

What is the slope of the line that passes through the points (2, 3) and (5, 7)?

Back

The slope is (7 - 3) / (5 - 2) = 4 / 3.

Front

What is the slope of the line that passes through the points (1, 2) and (4, -1)?

Back

The slope is (-1 - 2) / (4 - 1) = -3 / 3 = -1.